The cost, in millions of dollars, of a 30-second television ad during an annual television event in the years 2000–2010 can be approximated by C(t) = 0.12t + 1.7 million dollars (0 ≤ t ≤ 10). (t = 0 represents 2000.) What was the average cost of an ad in the event during the given period?
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- * 1.2 |sgn(-1.1)| = ??? %3D 1.1 .1 -1 .2 -1.1 .3 1 .42.62 For the period 2001–2008, the Bristol-Myers Squibb Company, Inc. reported the following amounts (in billions of dollars) for (1) net sales and (2) advertising and product promotion. The data are also in the file XR02062. Source: Bristol-Myers Squibb Company, Annual Reports, 2005, 2008. Year Net Sales Advertising/Promotion 2001 $16.612 $1.201 2002 16.208 1.143 2003 18.653 1.416 2004 19.380 1.411 2005 19.207 1.476 2006 16.208 1.304 2007 18.193 1.415 2008 20.597 1.550 For these data, construct a line graph that shows both net sales and expenditures for advertising/product promotion over time. Some would suggest that increases in advertising should be accompanied by increases in sales. Does your line graph support this?The revenue for Google for the years 2010–2014 is shown in the following table (Wallstreet Journal, August 2014). Deflate the revenue in dollars based on the CPI (1982–1984base period). Comment on the company’s revenue in deflated dollars. Year Revenue ($ billions) CPI2010 29.3 218.12011 37.9 224.92012 50.2 229.62013 59.8 233.02014 66.7 236.7
- Cell Phones Using the CTIA Wireless Survey for1985–2009, the number of U.S. cell phone subscribers (in millions) can be modeled byy = 0.632x2 - 2.651x + 1.209where x is the number of years after 1985.a. Graphically find when the number of U.S.subscribers was 301,617,000.b. When does the model estimate that the number ofU.S. subscribers would reach 359,515,000?c. What does the answer to (b) tell about this model?The figure below shows timber production in particular months from 2000 to 2005. Which of the following months of the year seems to have the lowest timber production? (a) January (b) April (c) July (d) OctoberThe number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = -5000 In r where r is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = b. N(0.4) = c. N(0.2) = (Round to the nearest tens place.) (Round to the nearest hundreds place.) (Round to the nearest thousands place.)
- The file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.Population of Females Under 18 Using projected data from 2020 to 2060, the population offemales under 18 in the United States is given byy = 154.03x + 34,319, with x equal to the numberof years after 2000 and y equal to the projected population, in thousands. In what year will the populationreach 38,169,750, according to this model?(Source: U.S. Census Bureau)The Internal Revenue Service Restructuring and Reform Act (RRA) was signed into law by President Bill Clinton in 1998. A major objective of the RRA was to promote electronic filing of tax returns. The data in the table that follows show the percentage of individual income tax returns filed electronically for filing years 2000–2008. Since the percentage P of returns filed electronically depends on the filing year y and each input corresponds to exactly one output, the percentage of returns filed electronically is a function of the filing year;so P(y) represents the percentage of returns filed electronically for filing year y. (a) Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. (b) Find the average rate of change of the percentage of e-filed returns from 2004 to 2006. (c) Find the average rate of change of the percentage of e-filed returns from 2006 to 2008. (d) What is happening to the average rate of change as time passes?
- The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period. [Source: Ogden, C., et al. (2004). Mean body weight, height, and body mass index, United States 1960–2002. Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is greater than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year. Please Formulate the null and alternative hypothesesmgs An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 122 pounds, and will sell for $3.9 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2 pounds, while the price per pound will decrease by $0.06. A) How many weeks should the grower wait before harvesting the apples in order to maximize the saler revenue per tree? (Round your answer to the nearest tenth of a week.) (rounded to the nearest tenth) Answer: B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.) Answer: dollars (rounded to the nearest dollar)The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 518 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 665 2013 (a) What was the average rate of change of sales between 2003 and 2013? | players/yr (b) What was the average rate of change of sales between 2003 and 2004? | players/yr (c) What was the average rate of change of sales between 2004 and 2005? players/yr (d) Between which two successive years did DVD player sales increase most quickly? to Between which two successive years did DVD player sales decrease most quickly? to